On the origin and initial temperature of Jupiter and Saturn

Mathematics

Scientific paper

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Gas Giant Planets, Jupiter (Planet), Planetary Evolution, Planetary Temperature, Saturn (Planet), Condensing, Flow Stability, Gas Flow, Interplanetary Gas, Luminosity, Planetary Atmospheres, Planetary Mass, Protoplanets, Surface Temperature, Planets, Jupiter, Saturn, Temperature, Origin, Mathematical Models, Nuclei, Condensation, Accretion, Mass, Radii, Chronology, Hydrodynamics, Gases, Diffusion, Luminosity, Heating, Dissipation, Parameters, Data, Formation

Scientific paper

A two-stage growth of the giant planets, Jupiter and Saturn, is considered, which is different from the model of contraction of large gaseous protoplanets. In the first stage, a nucleus forms from condensed material having the mass, about 10 to the 28th g, necessary for the beginning of accretion. In the second stage, a hydrodynamic instability in the gas develops near the body, and a relatively slow accretion begins until the mass of the planet reaches about 10 earth masses. Then a rapid accretion begins with the critical radius less than the radius of the Hill lobe, so that classical formulas for the rate of accretion may be applied. The process is terminated by the dissipation of the remaining gas. The initial mass of the gas in Jupiter's zone is estimated. Highest temperatures and luminosities for the surfaces of Jupiter and Saturn are estimated.

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